Convergence of polynomials with restricted zeros

Author(s):  
J. G. Ciunie
Keyword(s):  
2009 ◽  
Vol 25 (2) ◽  
pp. 142-146
Author(s):  
Abdul Aziz ◽  
W. M. Shah
Keyword(s):  

1971 ◽  
Vol 23 (2) ◽  
pp. 257-269 ◽  
Author(s):  
Stephen Fisher

The theorems in this paper are all concerned with either pointwise or uniform approximation by functions which have unit modulus or by convex combinations of such functions. The results are related to, and are outgrowths of, the theorems in [4; 5; 10].In § 1, we show that a function bounded by 1, which is analytic in the open unit disc Δ and continuous on may be approximated uniformly on the set where it has modulus 1 (subject to certain restrictions; see Theorem 1) by a finite Blaschke product; that is, by a function of the form*where |λ| = 1 and |αi| < 1, i = 1, …, N. In § 1 we also discuss pointwise approximation by Blaschke products with restricted zeros.


2010 ◽  
Vol 13 (2) ◽  
pp. 217-224 ◽  
Author(s):  
K. K. Dewan ◽  
Arty Ahuja ◽  
Sunil Hans

1998 ◽  
Vol 108 (1) ◽  
pp. 63-68 ◽  
Author(s):  
Abdul Aziz ◽  
W M Shah
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document